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Finding the Fourth Proportional to 7,971.62, 11,897.16 and 7,764.26

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Solution

The fourth proportional to 7,971.62, 11,897.16 and 7,764.26 is: 11,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.62 : 11,897.16 = 7,764.26 : x
  2. Step 2: Convert to fraction form
    7,971.62/11,897.16 = 7,764.26/x
  3. Step 3: Cross multiply
    7,971.62x = 11,897.16 × 7,764.26
  4. Step 4: Simplify right side
    7,971.62x = 92,372,604.68
  5. Step 5: Solve for x
    x = 92,372,604.68/7,971.62
  6. Step 6: Final answer
    x = 11,587.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.